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Question

Factorise:4y2 - 12y + 9.
Justify your answer with a reason.

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Solution

4y^2-12y+9
​​=4y^2(-6y-6y)+9
​​​​​​=(4y^2-6y)+(-6y+9)
=2y(2y-3)+ -3(2y-3). {out side 2y-3}
=(2y-3)×(2y-3)
=(2y-3)^2



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